Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Join our platform to get reliable answers to your questions from a knowledgeable community of experts. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

if y varies inversely with x and y= -18 when x = 6 , find y when x=5

Sagot :

wegnerkolmp2741o

Answer:

y = -108/5

Step-by-step explanation:

An inverse variation is xy = k where k is a constant

xy =k

6*-18 = k

-108 = k

xy = -108

Let x = 5

5y = -108

Divide by 5

y = -108/5

Problem:

  • if y varies inversely with x and y.= -18 when x = 6, find y when x = 5?

Answer:

  • [tex] \huge \: \boxed{y = - 21.6}[/tex]

Formula:

  • [tex] \boxed{y = \frac{k}{x} }[/tex]

To find k use the given condition:

Given that:

  • [tex]y = -18 [/tex]
  • [tex]x = 6[/tex]

Lets try!

  • [tex]\:y = \frac{k}{x} \: \: ➡ \: \: \boxed{ k \ = yx}[/tex]
  • [tex]yx = - 18 \times 6 = \boxed{- 108}[/tex]

Equation is:

  • [tex] \boxed{y = {\frac{ - 108}{ \: x}}}[/tex]

When x = 5 then,

  • [tex]\huge{y = \frac{ - 108}{ \: 5}} [/tex]
  • [tex] \huge\boxed{y = - 21.6}[/tex]

______

#LetsStudy

Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.